Ordinal and relational clustering:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Singapore [u.a.]
World Scientific
2010
|
| Schriftenreihe: | Interdisciplinary mathematical sciences
10 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 171 - 173 |
| Beschreibung: | XVIII, 179 S. graph. Darst. |
| ISBN: | 9789814287203 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804149291044831232 |
|---|---|
| adam_text | Titel: Ordinal and relational clustering
Autor: Janowitz, Melvin F
Jahr: 2010
Contents
Preface vü
Acknowledgments xi
List of Figures xv
List of Tables xvii
1. Informal background 1
1.1 Types of relations ........................... 2
1.2 Nine integer example.......................... 5
1.3 Mammal milk example......................... 7
2. Dissimilarities and Clusters 13
2.1 Getting more formal.......................... 14
2.2 Dendrograms and ultrametrics.................... 21
2.3 The Jardine-Sibson model ...................... 24
2.4 Worked examples............................ 29
2.5 ? Characterization of the family of Clusters ............. 39
2.6 ? ML-sets and complete-linkage clustering.............. 45
3. Ordinal data 49
3.1 Monotone equivariance......................... 49
3.2 Actions of isotone mappings...................... 53
3.3 Fiat and 0-flat Cluster methods.................... 58
3.4 Clustering based on bridges...................... 62
3.4.1 Bridges and generahzed bridges............... 63
3.4.2 Bridge removal clustering................... 65
3.4.3 Software considerations.................... 68
xiv Ordinal and Relational Clustering
4. Continuity and ordinal continuity 75
4.1 Notions of Limits............................ 75
4.2 Continuity................................ 79
4.3 ? Order continuity........................... 86
5. Classification of monotone equivariant Cluster methods 93
5.1 Classification kerneis.......................... 93
5.2 The clustering connection....................... 103
5.3 Kernels of residuated mappings.................... 112
5.3.1 Residuated and residual mappings ............. 112
5.3.2 Kernels for residuated mapping on 3ftg ........... H?
5.4 Normalized dissimilarities....................... 119
5.5 Clustering connection for normalized residuated mappings..... 122
6. Clustering based on posets 129
6.1 Galois connections........................... 129
6.2 Formal concept analysis........................ 130
6.3 Boolean dissimilarities......................... 136
6.4 Relational clustering.......................... 143
7. A new poset model 145
7.1 An informal approach......................... 145
7.2 A more formal approach........................ 146
7.3 Algorithms in the poset model .................... 150
7.4 ? The Software............................. 153
7.5 * The Majority induced order..................... 158
7.6 Confidence interval clustering..................... 162
7.7 Thoughts for the future........................ 167
List of Symbols 169
Bibliography 1^1
Index 175
|
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| id | DE-604.BV040281673 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T00:20:41Z |
| institution | BVB |
| isbn | 9789814287203 |
| language | English |
| lccn | 2010281895 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-025137023 |
| oclc_num | 837677815 |
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| physical | XVIII, 179 S. graph. Darst. |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | World Scientific |
| record_format | marc |
| series | Interdisciplinary mathematical sciences |
| series2 | Interdisciplinary mathematical sciences |
| spelling | Janowitz, Melvin F. Verfasser aut Ordinal and relational clustering Melvin F. Janowitz Singapore [u.a.] World Scientific 2010 XVIII, 179 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Interdisciplinary mathematical sciences 10 Literaturverz. S. 171 - 173 Cluster-Analyse (DE-588)4070044-6 gnd rswk-swf Cluster-Analyse (DE-588)4070044-6 s DE-604 Interdisciplinary mathematical sciences 10 (DE-604)BV035420471 10 DE-601 pdf/application http://www.gbv.de/dms/tib-ub-hannover/626042631.pdf Inhaltsverzeichnis HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025137023&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Janowitz, Melvin F. Ordinal and relational clustering Interdisciplinary mathematical sciences Cluster-Analyse (DE-588)4070044-6 gnd |
| subject_GND | (DE-588)4070044-6 |
| title | Ordinal and relational clustering |
| title_auth | Ordinal and relational clustering |
| title_exact_search | Ordinal and relational clustering |
| title_full | Ordinal and relational clustering Melvin F. Janowitz |
| title_fullStr | Ordinal and relational clustering Melvin F. Janowitz |
| title_full_unstemmed | Ordinal and relational clustering Melvin F. Janowitz |
| title_short | Ordinal and relational clustering |
| title_sort | ordinal and relational clustering |
| topic | Cluster-Analyse (DE-588)4070044-6 gnd |
| topic_facet | Cluster-Analyse |
| url | http://www.gbv.de/dms/tib-ub-hannover/626042631.pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025137023&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV035420471 |
| work_keys_str_mv | AT janowitzmelvinf ordinalandrelationalclustering |
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